The 2-dimensional approach here concentrated upon edge dislocations, which were described in terms of their position and Burgers vector. In the case of the 3-dimensional simulations, the dislocation line was also discretized. The correspondence of the 2-dimensional and 3-dimensional predictions of the local stress fields was studied for special cases. It was concluded that the simulation of dislocation statics, using a high spatial resolution, provided a useful means for assessing the assumptions which were made when developing analytical models for strain hardening and flow stress. The present simulations confirmed that interface dislocations generated long-range stress fields, and that their number contributed appreciably to the total dislocation density. It was shown that local stress fields, and therefore strain hardening and flow stress, could be properly described only if the local dislocation densities, and the natures and positions of the dislocations, were taken into account.

Simulation of the Statics of One-Dimensional and Three-Dimensional Networks. D.Raabe, F.Roters, O.Gottstein: Computational Materials Science, 1996, 5[1-3], 203-9